Please use this identifier to cite or link to this item: http://hdl.handle.net/20.500.12323/7407
Title: On the solution of conformable fractional heat conduction equation
Authors: Allahverdiev, Bilender P.
Tuna, Hüseyin
Yalçınkaya, Yüksel
Keywords: Conformable Fractional Sturm-Liouville operator
eigenfunction expansion
Green’s function
completely continuous operator
Issue Date: 2023
Publisher: Caspian Journal of Mathematical Sciences (CJMS)
Series/Report no.: Vol. 12;№ 2
Abstract: In this article, we study a conformable fractional heat conduction equation. Applying the method of separation variables to this problem, we get a conformable fractional Sturm–Liouville eigenvalue problem. Later, we prove the existence of a countably infinite set of eigenvalues and eigenfunctions. Finally, we establish uniformly convergent expansions in the eigenfunctions.
URI: http://hdl.handle.net/20.500.12323/7407
ISSN: 2676-7260
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